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Finding the Fourth Proportional to 186,638.72, 279,826.82 and 86,692.80

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Solution

The fourth proportional to 186,638.72, 279,826.82 and 86,692.80 is: 129,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,638.72 : 279,826.82 = 86,692.80 : x
  2. Step 2: Convert to fraction form
    186,638.72/279,826.82 = 86,692.80/x
  3. Step 3: Cross multiply
    186,638.72x = 279,826.82 × 86,692.80
  4. Step 4: Simplify right side
    186,638.72x = 24,258,970,540.90
  5. Step 5: Solve for x
    x = 24,258,970,540.90/186,638.72
  6. Step 6: Final answer
    x = 129,978.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.